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35761489
Hyperbolic Functions: with Configuration Theorems and Equivalent and Equidecomposable Figures Dover Books on Mathematics Illustrated Edition
Vare #:
35761489
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This single-volume compilation focuses on Hyperbolic Functions, Configuration Theorems, and Equivalent and Equidecomposable Figures that introduce important fundamental concepts of projective geometry.
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Hvad der skiller sig ud
In-depth Exploration
This book delves deeply into hyperbolic functions, providing comprehensive coverage of configuration theorems and their applications, making it essential for serious mathematics enthusiasts and students alike.
Illustrated Edition
Enhanced with illustrations, this edition offers visual interpretations of complex concepts, helping readers grasp challenging mathematical ideas more intuitively than traditional texts.
Targeted Audience
Designed specifically for both students and professionals, it bridges the gap between theoretical understanding and practical application, catering to a wide range of mathematical expertise and interest.
Produktdetaljer
- Single-volume compilation of three books focusing on Hyperbolic Functions
- Introduction to the relationship between hyperbolic sine, cosine, and tangent
- Development of hyperbolic functions presented alongside trigonometric functions for comparison
- Concluding chapter introducing natural logarithms and analytic expressions for hyperbolic functions
- Second book on Configuration Theorems requiring elementary background in geometry
- Final book discusses mathematical conditions of dissecting and reassembling polyhedra
| Publisher | Dover Publications |
| Publication date | March 15, 2007 |
| Edition | Illustrated |
| Language | English |
| Print length | 192 pages |
| ISBN-10 | 0486458865 |
| ISBN-13 | 978-0486458861 |
| Item Weight | 7.2 ounces (204.12 grams) |
| Dimensions | 8.52 x 0.39 x 6.71 inches (21.6 x 1 x 17 cm) |
| Part of series | Dover Books on Mathematics |
Hvem bør købe?
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Mathematics Students
Ideal for students studying advanced mathematics, particularly those focused on hyperbolic functions and their applications.
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Educators and Teachers
Useful for educators looking to teach hyperbolic functions with detailed theorems and illustrations to enhance understanding.
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Researchers in Geometry
Beneficial for researchers interested in configuration theorems and geometrical properties related to hyperbolic functions.
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Casual Learners
Not suitable for casual learners who seek basic math knowledge without deep technical content.
Produktbeskrivelse
Hyperbolic Functions: with Configuration Theorems and Equivalent and Equidecomposable Figures Dover Books on Mathematics Illustrated Edition
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Kundespørgsmal & svar
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spørgsmål:
Do I need prior knowledge of geometry and trigonometry to understand this book?
svar: The book only requires elementary background knowledge of plane and solid geometry and parallel columns for comparison with trigonometric functions. -
spørgsmål:
Is this book suitable for beginners?
svar: Yes, it is suitable for beginners with an interest in geometry and mathematics. -
spørgsmål:
What is the significance of hyperbolic functions and projective geometry?
svar: Hyperbolic functions aid in solving complex problems involving geometric properties, while projective geometry is fundamental in graphic representation of geometric properties and patterns.
Applied Editorial Review
"Hyperbolic Functions: with Configuration Theorems and Equivalent and Equidecomposable Figures" is a comprehensive textbook on hyperbolic functions, configuration theorems, and equidecomposable figures. The book presents a thorough explanation of the hyperbolic functions, providing detailed proofs of the Sinh X and Cosh X formulas. It then moves on to the Desargues and Pappus Pascal theorems, introducing the theory of geometric configurations. The final booklet is dedicated to equidecomposable figures in two and three dimensions, presenting Euclidean definitions of area and volume. The book is well-organized and easy to read, and the electronic version is particularly well-produced, with clean fonts and clear diagrams.
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Fordele
- Thorough explanations and detailed proofs of hyperbolic functions
- Comprehensive coverage of geometric configurations and equidecomposable figures
- Well-organized and easy to read
- Clean and readable electronic version
Ulemper
- Some readers may find the content too advanced or specialized for casual reading
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DKK 133
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Egenskaber og fordele
- Compilation of three books
- Introduction to hyperbolic functions and relationship with geometric properties
- Includes configuration theorems and practical geometric problems
- Discusses mathematical conditions for reassembling polyhedrons
- Introduces fundamental concepts of projective geometry
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